Would someone please help me with these problems?

\f5. Evaluate the geometric series or state that it diverges. 2 6. (2 pts) For the following telescoping series, find a formula for the nth term of the sequence of partial sums (5,). Then evaluate lim S, to obtain the value of the series or state that the series diverges. 1 (k +5) (k +6) 7. (2 pts) Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 7 k(Ink)2 k =2 8. Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. K In 3k k =2